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Finding the Third Proportional to 285,024 and 451,302

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Solution

The third proportional to 285,024 and 451,302 is: 714,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,024 : 451,302 = 451,302 : x
  2. Step 2: Convert to fraction form
    285,024/451,302 = 451,302/x
  3. Step 3: Cross multiply
    285,024x = 451,302 × 451,302
  4. Step 4: Simplify right side
    285,024x = 203,673,495,204
  5. Step 5: Solve for x
    x = 203,673,495,204/285,024
  6. Step 6: Final answer
    x = 714,583.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.